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1.

図書

図書
Carmen Chicone, Yuri Latushkin
出版情報: Providence, RI : American Mathematical Society, c1999  x, 361 p. ; 26 cm
シリーズ名: Mathematical surveys and monographs ; vol. 70
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目次情報: 続きを見る
Introduction
Semigroups on Banach spaces and evolution semigroups
Evolution families and Howland semigroups
Characterizations of dichotomy for evolution families
Two applications of evolution semigroups
Linear skew-product flows and Mather evolution semigroups
Characterizations of dichotomy for linear skew-product flows
Evolution operators and exact Lyapunov exponents
Bibliography
List of notations
Index
Introduction
Semigroups on Banach spaces and evolution semigroups
Evolution families and Howland semigroups
2.

図書

図書
Ioannis Antoniou and Günter Lumer (editors)
出版情報: Boca Raton, Fla. ; London : Chapman & Hall/CRC Press, c1999  378 p. ; 26 cm
シリーズ名: Research notes in mathematics ; 399
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3.

図書

図書
Graham Everest, Thomas Ward
出版情報: London ; New York ; Tokyo : Springer, c1999  xii, 211 p. ; 24 cm
シリーズ名: Universitext
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4.

図書

図書
by Pei-Chu Hu and Chung-Chun Yang
出版情報: Dordrecht ; Boston, Mass. : Kluwer Academic, c1999  ix, 338 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 483
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5.

図書

図書
by L.V. Bogdanov
出版情報: Dordrecht ; Boston : Kluwer Academic, c1999  xii, 264 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 493
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6.

図書

図書
Gerhard Keller
出版情報: Cambridge : Cambridge University Press, 1998  ix, 178 p. ; 24 cm
シリーズ名: London Mathematical Society student texts ; 42
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7.

図書

図書
Nguyen Dinh Cong
出版情報: Oxford : Clarendon Press , New York : Oxford University Press, 1997  viii, 203 p. ; 25 cm
シリーズ名: Oxford mathematical monographs
Oxford science publications
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8.

図書

図書
Karl-Georg Schlesinger
出版情報: Harlow, Essex, England : Longman, 1997  116 p. ; 25 cm
シリーズ名: Pitman research notes in mathematics series ; 372
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9.

図書

図書
Yakov B. Pesin
出版情報: Chicago, Ill. : University of Chicago Press, c1997  xi, 304 p. ; 23 cm
シリーズ名: Chicago lectures in mathematics
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目次情報: 続きを見る
Preface
Introduction
Carathéodory Dimension Characteristics / Part I:
General Carathéodory Construction / Chapter 1:
Carathéodory Dimension of Sets / 1:
Carathéodory Capacity of Sets / 2:
Carathéodory Dimension and Capacity of Measures / 3:
Coincidence of Carathéodory Dimension and Carathéodory Capacity of Measures / 4:
Lower and Upper Bounds for Carathéodory Dimension of Sets; Carathéodory Dimension Spectrum / 5:
C-Structures Associated with Metrics: Hausdorff Dimension and Box Dimension / Chapter 2:
Hausdorff Dimension and Box Dimension of Sets / 6:
Hausdorff Dimension and Box Dimension of Measures; Pointwise Dimension; Mass Distribution Principle / 7:
C-Structures Associated with Metrics and Measures: Dimension Spectra / Chapter 3:
q-Dimension and q-Box Dimension of Sets / 8:
q-Dimension and q-Box Dimension of Measures / 9:
Hausdorff (Box) Dimension and Q-(Box) Dimension of Sets and Measures in General Metric Spaces / Appendix I:
C-Structures Associated with Dynamical Systems: Thermodynamic Formalism / Chapter 4:
A Modification of the General Carathéodory Construction / 10:
Dimensional Definition of Topological Pressure; Topological and Measure-Theoretic Entropies / 11:
Non-additive Thermodynamic Formalism / 12:
Variational Principle for Topological Pressure; Symbolic Dynamical Systems; Bowen's Equation / Appendix II:
An Example of Carathéodory Structure Generated by Dynamical Systems / Appendix III:
Applications to Dimension Theory and Dynamical Systems / Part II:
Dimension of Cantor-like Sets and Symbolic Dynamics / Chapter 5:
Moran-like Geometric Constructions with Stationary (Constant) Ratio Coefficients / 13:
Regular Geometric Constructions / 14:
Moran-like Geometric Constructions with Non-stationary Ratio Coefficients / 15:
Geometric Constructions with Rectangles; Non-coincidence of Box Dimension and Hausdorff Dimension of Sets / 16:
Multifractal Formalism / Chapter 6:
Correlation Dimension / 17:
Dimension Spectra: Hentschel-Procaccia, Rényi, and f(alpha)-Spectra; Information Dimension / 18:
Multifractal Analysis of Gibbs Measures on Limit Sets of Geometric Constructions / 19:
Dimension of Sets and Measures Invariant under Hyperbolic Systems / Chapter 7:
Hausdorff Dimension and Box Dimension of Conformal Repellers for Smooth Expanding Maps / 20:
Multifractal Analysis of Gibbs Measures for Smooth Conformal Expanding Maps / 21:
Hausdorff Dimension and Box Dimension of Basic Sets for Axiom A Diffeomrophisms / 22:
Hausdorff Dimension of Horseshoes and Solenoids / 23:
Multifractal Analysis of Equilibrium Measures on Basic Sets of Axiom A Diffeomorphisms / 24:
A General Concept of Multifractal Spectra; Multifractal Rigidity / Appendix IV:
Relations between Dimension, Entropy, and Lyapunov Exponents / Chapter 8:
Existence and Non-existence of Pointwise Dimension for Invariant Measures / 25:
Dimension of Measures with Non-zero Lyapunov Exponents; The Eckmann-Ruelle Conjecture / 26:
Some Useful Facts / Appendix V:
Bibliography
Index
Preface
Introduction
Carathéodory Dimension Characteristics / Part I:
10.

図書

図書
edited by Silvio Levy
出版情報: Cambridge : Cambridge University Press, 1997  ix, 194 p. ; 25 cm
シリーズ名: Mathematical Sciences Research Institute publications ; 31
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